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1683797664 = 253101173659
BaseRepresentation
bin110010001011100…
…1011011010100000
311100100100210011110
41210113023122200
511422023011124
6435025343320
756504021043
oct14427133240
94310323143
101683797664
1179450711a
123aba97b40
1320aac58a3
1411d8a8c5a
159cc53029
hex645cb6a0

1683797664 has 48 divisors (see below), whose sum is σ = 4463756640. Its totient is φ = 555705600.

The previous prime is 1683797663. The next prime is 1683797669. The reversal of 1683797664 is 4667973861.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (1683797663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77134 + ... + 96525.

It is an arithmetic number, because the mean of its divisors is an integer number (92994930).

Almost surely, 21683797664 is an apocalyptic number.

It is an amenable number.

1683797664 is an abundant number, since it is smaller than the sum of its proper divisors (2779958976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1683797664 is a wasteful number, since it uses less digits than its factorization.

1683797664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173773 (or 173765 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 57.

The square root of 1683797664 is about 41034.1036699963. The cubic root of 1683797664 is about 1189.6794711427.

The spelling of 1683797664 in words is "one billion, six hundred eighty-three million, seven hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 303 404 606 808 1212 1616 2424 3232 4848 9696 173659 347318 520977 694636 1041954 1389272 2083908 2778544 4167816 5557088 8335632 16671264 17539559 35079118 52618677 70158236 105237354 140316472 210474708 280632944 420949416 561265888 841898832 1683797664